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Finding the Fourth Proportional to 1,701.51, 2,348.24 and 1,002.75

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Solution

The fourth proportional to 1,701.51, 2,348.24 and 1,002.75 is: 1,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.51 : 2,348.24 = 1,002.75 : x
  2. Step 2: Convert to fraction form
    1,701.51/2,348.24 = 1,002.75/x
  3. Step 3: Cross multiply
    1,701.51x = 2,348.24 × 1,002.75
  4. Step 4: Simplify right side
    1,701.51x = 2,354,692.65
  5. Step 5: Solve for x
    x = 2,354,692.65/1,701.51
  6. Step 6: Final answer
    x = 1,383.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.